Question

if x= 1 is a zero of polynomial f (x)= x^3-2x^2+4x+k write the value of k

Answer 1

if x = 1 is zero of polynomial f(x).

Then, f(1) = (1)³ - 2(1)² + 4(1) +k = 0

or, 1 - 2 + 4 + k = 0

or, 3 + k = 0

or, k = 3

Answer) value of k is 3.

Answer 2

Given 1 is the zero of the polynomial f(x)
i.e., f(1)=0
⇒(1)³-2(1)²+4(1)+k=0
⇒1-2+4+k=0
⇒3+k=0
⇒k=-3
Therefore, the value of k is '-3'.